Question

Find y if the line through (8, y) and (9, 1) has a slope of 3.

Answer 1

Answer:

The value of y is -2

Therefore the given point (8,y) becomes (8,-2)

Step-by-step explanation:

Step-by-step explanation:

Given that the line through the points (8, y) and (9, 1) and slope m is 3

To find y to the line through the points (8, y) and (9, 1) :

The formula for slope is $m=\frac{y_2-y_1}{x_2-x_1}$

Let $(x_1,y_1)$ , $(x_2,y_2)$ be the given points (8, y) and (9, 1) respectively

Now substitute the values of the points and m=3 in the formula

$3=\frac{1-y}{9-8}$

$3=\frac{1-y}{1}$

$3=1-y$

$3-(1-y)=1-y-(1-y)$

$3-1+y=1-y-1+y$

$2+y=0$ ( adding the like terms )

$2+y-2=0-2$

Therefore y=-2

Therefore the value of y is -2

Therefore the given point (8,y) becomes (8,-2)